What is the Greatest Common Factor of 67998 and 68011?

Greatest common factor (GCF) of 67998 and 68011 is 1.

GCF(67998,68011) = 1

We will now calculate the prime factors of 67998 and 68011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67998 and 68011.

How to find the GCF of 67998 and 68011?

We will first find the prime factorization of 67998 and 68011. After we will calculate the factors of 67998 and 68011 and find the biggest common factor number .

Step-1: Prime Factorization of 67998

Prime factors of 67998 are 2, 3, 7, 1619. Prime factorization of 67998 in exponential form is:

67998 = 2¹ × 3¹ × 7¹ × 1619¹

Step-2: Prime Factorization of 68011

Prime factors of 68011 are 23, 2957. Prime factorization of 68011 in exponential form is:

68011 = 23¹ × 2957¹

Step-3: Factors of 67998

List of positive integer factors of 67998 that divides 67998 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1619, 3238, 4857, 9714, 11333, 22666, 33999

Step-4: Factors of 68011

List of positive integer factors of 68011 that divides 67998 without a remainder.

1, 23, 2957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67998 and 68011. The biggest common factor number is the GCF number.
So the greatest common factor 67998 and 68011 is 1.

Also check out the Least Common Multiple of 67998 and 68011